Week 2 Discussion 1 - For this discussion we are asked to use Cowlings Rule to determine the approximate dosage of medicine for a child Cowlings rule is

# Week 2 Discussion 1 - For this discussion we are asked to...

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For this discussion we are asked to use Cowling’s Rule to determine the approximate dosage of medicine for a child. Cowling’s rule is a formula that is written as: d=D (a+1) 24 The formula is used to convert the given amount for adults into a child dosage. There are three variables that will be used in this expression; the letters in the expression create a literal equation because the variables represent known values. a=child’s age D=adult dose d=child’s dose Using the formula provided d=D (a+1) 24 The expression I was given is an adult dose of 1000mg acetaminophen for an 8 year old child. I am required to find the correct dosage. d=D(a+1)/24 Cowling’s given formula. d=1000mg(8+1)/24 This is where I substituted 1000mg for D and 8 for the variable a. d=1000mg(9)/24 Here I added the numbers inside the parentheses to get nine. d=9000/24 Multiplied 1000mg by 9 d=375mg Divided 9000 by 24, which gave me the proper dosage for an 8 year old child. The proper dosage for an 8 year old child using the given Cowling’s formula is 375mg. The next part of the discussion post is to determine the age of the child when given the approximate dosage for the child and the dosage of the adult. Using the same formula I will solve the expression of a dosage of 600mg for adult and 250mg for a child. d=D(a+1)/24 Cowling’s given formula 250mg=600mg(a+1)/24 Here I substituted 250mg for variable d, and 600mg for variable D Now that I have substituted for variables d and D it leaves a conditional equation. There will be only one value left to solve for (a). 250mg(24)=600mg(a+1)/24 24 Now we must multiply both sides by 24 to get rid of the denominator 6000=600mg(a+1) Multiplied 250mg by 24 6000=600 600 600 Divided both sides of the expression by 600 to leave (a+1) 10=(a+1) Divided 6000 by 600 equaling 10mg 10-1=a-1 Subtract both sides by 1 9=a Solved for a. The dosage is meant for a nine year old child. Based on the information given of 600mg adult dose and 250mg child dose the child’s age is 9 or older